Interpreting Functions Review

Is this table a function?  Why?

• Yes, because none of the inputs repeat.

• Yes, because the inputs repeat but have the same output.

• No, because the inputs repeat and have different outputs.

Is the graph a function?  Why?

• Yes, it's a perfect circle.

• No, if I draw a vertical line, it crosses twice.

• Yes - if I draw a vertical line, it crosses only once.

• No - it's a perfect circle.

What is the domain of this function?

• All real numbers

• All real number bigger than 0

• All real number bigger than or equal to 0

• All real numbers less than 0

Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?

• Ms. Brackemyer starts with 8 pencils and ends with 52.

• After 8 days, Ms. Brackemyer has 52 pencils.

• Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

• Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

• A.
• B.
• C.
• D.

Which of the following statements are true about the function g(x)?  Select all that apply.

• The slope of the graph is -2.

• The function g(x) is an exponential function.

• When x increases by1, g(x) decreases by a factor of -2.

• The function can be represented by the equation g(x) = -2x.

• The function can be represented by the equation g(x) = -2x + 5.

A company that produces strawberry, grape, and raspberry jam tracked the costs to make each type of jam each year. The cost to make a container of each type of jam increases, including supply costs. The costs, in dollars, to make a container of the strawberry jam and the grape jam are represented by the functions shown, where x represents the number of years since the company opened. Strawberry Jam: s(x) = 3.10 + 0.05x Grape Jam: g(x) = 0.01(x - 1)² + 2.95 What statement is true about the cost to make a container of the strawberry jam?

• The cost to make a container of the strawberry jam was $3.10 in the year the company opened, and the cost increased $0.05 each year.

• The cost to make a container of the strawberry jam was $3.10 in the year the company opened, and the cost increased $3.10 each year.

• The cost to make a container of the strawberry jam was $3.10 in the year the company opened, and the cost increased 5 percent each year.

• The cost to make a container of the strawberry jam was $0.05 in the year the company opened, and the cost increased 3.1 percent each year.

Write the following in function notation.

ABC Furnace charges $75 to make a house call and then $50 an hour after that.

• f(x) = 75x + 50

• f(x) = 50x - 75

• f(x)= 50x + 75

What do you call the point where a function crosses the x-axis?

• y-intercept

• root

• minimum

• maximum

Write the following in function notation.

A Pizza restaurant offers the following deal $8.99 for on large pizza and $5 for each additional large pizza on the same order

• f(x) = 8.99x + 5

• f(x) = 5x + 8.99

• f(x) = 5x - 8.99